Speed, distance and time problem

Two workers X and Y staying at the same place are working in the same factory. X takes 20 mins while Y takes 30 mins to reach the factory by the same road. One day, Y started at 7.10 am from his place and X started at 7.16am. At what time would they meet each other on their way?

Two workers X and Y staying at the same place are working in the same factory. X takes 20 mins while Y takes 30 mins to reach the factory by the same road. One day, Y started at 7.10 am from his place and X started at 7.16am. At what time would they meet each other on their way?

To learn how to set up and solve this sort of "uniform rate" exercise, try here.

Then use the standard set-up, noting that "meeting" here actually means "passing". The rate for X, given that the distance from home to the factory is "d", is d/20 units per minute; the rate for Y is d/30 units per minute. Then:

Since they covered the same distance (from home to when X, having started later but moving faster, caught up to Y), set the two "distance" expressions equal. Since d does not equal zero (they do not live in the factory), you can divide through.

Hey thanks but, as per your solution [dividing dt/20 by d(t - 6)/30] i get t = -12 as the answer, which is incorrect.. the correct answer is 7:28am.

Originally Posted by stapel

To learn how to set up and solve this sort of "uniform rate" exercise, try here.

Then use the standard set-up, noting that "meeting" here actually means "passing". The rate for X, given that the distance from home to the factory is "d", is d/20 units per minute; the rate for Y is d/30 units per minute. Then:

Since they covered the same distance (from home to when X, having started later but moving faster, caught up to Y), set the two "distance" expressions equal. Since d does not equal zero (they do not live in the factory), you can divide through.